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Finding the Third Proportional to 74,334 and 114,779.25

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Solution

The third proportional to 74,334 and 114,779.25 is: 177,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,334 : 114,779.25 = 114,779.25 : x
  2. Step 2: Convert to fraction form
    74,334/114,779.25 = 114,779.25/x
  3. Step 3: Cross multiply
    74,334x = 114,779.25 × 114,779.25
  4. Step 4: Simplify right side
    74,334x = 13,174,276,230.56
  5. Step 5: Solve for x
    x = 13,174,276,230.56/74,334
  6. Step 6: Final answer
    x = 177,230.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.